Characterizations of inequality orderings by means of dispersive orderings.

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The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters.

@article{RamosRomero2002, abstract = {The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters.}, author = {Ramos Romero, Héctor M., Sordo Díaz, Miguel Angel}, journal = {Qüestiió}, keywords = {Teoría de la distribución; Estadísticos de orden; Curva de Lorenz; generalized Lorenz order; absolute Lorenz order; concave order; dilation order; economic welfare evaluation; generalized gamma distribution; data fitting and analysis of empirical and nominal income}, language = {eng}, number = {1-2}, pages = {15-28}, title = {Characterizations of inequality orderings by means of dispersive orderings.}, url = {http://eudml.org/doc/40367}, volume = {26}, year = {2002},}

TY - JOURAU - Ramos Romero, Héctor M.AU - Sordo Díaz, Miguel AngelTI - Characterizations of inequality orderings by means of dispersive orderings.JO - QüestiióPY - 2002VL - 26IS - 1-2SP - 15EP - 28AB - The generalized Lorenz order and the absolute Lorenz order are used in economics to compare income distributions in terms of social welfare. In Section 2, we show that these orders are equivalent to two stochastic orders, the concave order and the dilation order, which are used to compare the dispersion of probability distributions. In Section 3, a sufficient condition for the absolute Lorenz order, which is often easy to verify in practice, is presented. This condition is applied in Section 4 to the ordering of generalized gamma distributions with different parameters.LA - engKW - Teoría de la distribución; Estadísticos de orden; Curva de Lorenz; generalized Lorenz order; absolute Lorenz order; concave order; dilation order; economic welfare evaluation; generalized gamma distribution; data fitting and analysis of empirical and nominal incomeUR - http://eudml.org/doc/40367ER -